112680064 has 64 divisors (see below), whose sum is σ = 260516160. Its totient is φ = 47545344.

The previous prime is 112680047. The next prime is 112680079. The reversal of 112680064 is 460086211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59094 + ... + 60970.

It is an arithmetic number, because the mean of its divisors is an integer number (4070565).

Almost surely, 2^112680064 is an apocalyptic number.

112680064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130258080).

112680064 is an abundant number, since it is smaller than the sum of its proper divisors (147836096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112680064 is an equidigital number, since it uses as much as digits as its factorization.

112680064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 112680064 is about 10615.0866223503. The cubic root of 112680064 is about 483.0021103918.

The spelling of 112680064 in words is "one hundred twelve million, six hundred eighty thousand, sixty-four".